5+2(4-x)+3(x-5)=6(x+2)-3(4x-7)

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Solution for 5+2(4-x)+3(x-5)=6(x+2)-3(4x-7) equation: 


Simplifying
5 + 2(4 + -1x) + 3(x + -5) = 6(x + 2) + -3(4x + -7)
5 + (4 * 2 + -1x * 2) + 3(x + -5) = 6(x + 2) + -3(4x + -7)
5 + (8 + -2x) + 3(x + -5) = 6(x + 2) + -3(4x + -7)

Reorder the terms:
5 + 8 + -2x + 3(-5 + x) = 6(x + 2) + -3(4x + -7)
5 + 8 + -2x + (-5 * 3 + x * 3) = 6(x + 2) + -3(4x + -7)
5 + 8 + -2x + (-15 + 3x) = 6(x + 2) + -3(4x + -7)

Reorder the terms:
5 + 8 + -15 + -2x + 3x = 6(x + 2) + -3(4x + -7)

Combine like terms: 5 + 8 = 13
13 + -15 + -2x + 3x = 6(x + 2) + -3(4x + -7)

Combine like terms: 13 + -15 = -2
-2 + -2x + 3x = 6(x + 2) + -3(4x + -7)

Combine like terms: -2x + 3x = 1x
-2 + 1x = 6(x + 2) + -3(4x + -7)

Reorder the terms:
-2 + 1x = 6(2 + x) + -3(4x + -7)
-2 + 1x = (2 * 6 + x * 6) + -3(4x + -7)
-2 + 1x = (12 + 6x) + -3(4x + -7)

Reorder the terms:
-2 + 1x = 12 + 6x + -3(-7 + 4x)
-2 + 1x = 12 + 6x + (-7 * -3 + 4x * -3)
-2 + 1x = 12 + 6x + (21 + -12x)

Reorder the terms:
-2 + 1x = 12 + 21 + 6x + -12x

Combine like terms: 12 + 21 = 33
-2 + 1x = 33 + 6x + -12x

Combine like terms: 6x + -12x = -6x
-2 + 1x = 33 + -6x

Solving
-2 + 1x = 33 + -6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6x' to each side of the equation.
-2 + 1x + 6x = 33 + -6x + 6x

Combine like terms: 1x + 6x = 7x
-2 + 7x = 33 + -6x + 6x

Combine like terms: -6x + 6x = 0
-2 + 7x = 33 + 0
-2 + 7x = 33

Add '2' to each side of the equation.
-2 + 2 + 7x = 33 + 2

Combine like terms: -2 + 2 = 0
0 + 7x = 33 + 2
7x = 33 + 2

Combine like terms: 33 + 2 = 35
7x = 35

Divide each side by '7'.
x = 5

Simplifying
x = 5

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